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Finding the Fourth Proportional to 415.26, 573.48 and 299.16

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Solution

The fourth proportional to 415.26, 573.48 and 299.16 is: 413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.26 : 573.48 = 299.16 : x
  2. Step 2: Convert to fraction form
    415.26/573.48 = 299.16/x
  3. Step 3: Cross multiply
    415.26x = 573.48 × 299.16
  4. Step 4: Simplify right side
    415.26x = 171,562.28
  5. Step 5: Solve for x
    x = 171,562.28/415.26
  6. Step 6: Final answer
    x = 413.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.